[USACO2004OPEN]Cave Cows 3

嘟嘟嘟




看完题后突然想起jf巨佬的话：“看到曼哈顿距离就想转切比雪夫距离。”

于是我就转换了一下。

然后问题变成了求

\[max_{i, j \in n} \{ max \{ |x_i - x_j|, |y_i - y_j| \} \}
\]

令差最大，只要分别找出\(x, y\)的最小值和最大值即可。

\(O(n)\)扫一遍啦。

#include<cstdio>
#include<iostream>
#include<cmath>
#include<algorithm>
#include<cstring>
#include<cstdlib>
#include<cctype>
#include<vector>
#include<stack>
#include<queue>
using namespace std;
#define enter puts("")
#define space putchar(' ')
#define Mem(a, x) memset(a, x, sizeof(a))
#define In inline
typedef long long ll;
typedef double db;
const int INF = 0x3f3f3f3f;
const db eps = 1e-8;
const int maxn = 5e4 + 5;
inline ll read()
{
	ll ans = 0;
	char ch = getchar(), last = ' ';
	while(!isdigit(ch)) {last = ch; ch = getchar();}
	while(isdigit(ch)) {ans = (ans << 1) + (ans << 3) + ch - '0'; ch = getchar();}
	if(last == '-') ans = -ans;
	return ans;
}
inline void write(ll x)
{
	if(x < 0) x = -x, putchar('-');
	if(x >= 10) write(x / 10);
	putchar(x % 10 + '0');
}

int n;
struct Node
{
	int x, y;
}t[maxn];

int main()
{
	n = read();
	for(int i = 1; i <= n; ++i)
	{
		int x = read(), y = read();
		t[i] = (Node){x + y, x - y};
	}
	int Max = 1, May = 1, Mix = 1, Miy = 1;
	for(int i = 2; i <= n; ++i)
	{
		if(t[i].x < t[Mix].x) Mix = i;
		if(t[i].x > t[Max].x) Max = i;
		if(t[i].y < t[Miy].y) Miy = i;
		if(t[i].y > t[May].y) May = i;
	}
	write(max(t[Max].x - t[Mix].x, t[May].y - t[Miy].y)), enter;
	return 0;
}